In the present paper, we consider the synchronization of a pair of deterministic, second-order dynamical systems whose states evolve on a connected Riemannian manifold. The ``slave"" system has access to the state/momentum pair of the ``master"" system and is driven by a control vector field designed to make the former system sync in time to the latter. The paper also presents a theoretical analysis of a modified control scheme aimed at limiting the ``control efforts"" needed to achieve synchronization. An alternative version of the equations is also introduced that represents the case that the master system's state is observable under additive-exponential disturbances.
A control-theoretic approach to the synchronization of second-order continuous-time dynamical systems on real connected Riemannian manifolds / Fiori, S.. - In: SIAM JOURNAL ON CONTROL AND OPTIMIZATION. - ISSN 0363-0129. - ELETTRONICO. - 58:2(2020), pp. 787-813. [10.1137/18M1235727]
A control-theoretic approach to the synchronization of second-order continuous-time dynamical systems on real connected Riemannian manifolds
Fiori S.
Conceptualization
2020-01-01
Abstract
In the present paper, we consider the synchronization of a pair of deterministic, second-order dynamical systems whose states evolve on a connected Riemannian manifold. The ``slave"" system has access to the state/momentum pair of the ``master"" system and is driven by a control vector field designed to make the former system sync in time to the latter. The paper also presents a theoretical analysis of a modified control scheme aimed at limiting the ``control efforts"" needed to achieve synchronization. An alternative version of the equations is also introduced that represents the case that the master system's state is observable under additive-exponential disturbances.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
